We propose a practical stochastic model and charging algorithms for electric vehicles׳ battery charging station.
A flexible Poisson process with a hidden Markov chain models the time-varying behavior of the electric vehicles׳ inbounding stream.
We obtain the stationary distributions of steady states, waiting time distributions, and joint distributions of parking time and electricity charged under the stochastic model.
Performance measures of the charging algorithms under the stochastic model are analytically derived.